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Journal articles on the topic 'Rainbow Signature Scheme'

Author: Grafiati

Published: 6 September 2023

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1

Ostrianska, Yelyzaveta, and Olha Mirzoieva. "Generation of general system parameters for Rainbow signature scheme." Physico-mathematical modelling and informational technologies, no. 33 (September 3, 2021): 83–87. http://dx.doi.org/10.15407/fmmit2021.33.083.

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The paper considers the description of electronic signature scheme Rainbow, which is based on multivariate transformations. It is a generalization of the UOV structure, which provides efficient parameterization due to the additional algebraic structure. The article provides an initial analysis of known attacks on the ES Rainbow scheme. Also, algorithms for generating general system parameters for 384 and 512 security bits were developed and the results are presented in this paper. The study found that the Rainbow signature generation process consists of simple operations of linear algebra, suc

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2

Luyen, Le. "An Improved Identity-Based Multivariate Signature Scheme Based on Rainbow." Cryptography 3, no. 1 (2019): 8. http://dx.doi.org/10.3390/cryptography3010008.

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Multivariate Public Key Cryptography (MPKC) is one of the main candidates for post-quantum cryptography, especially in the area of signature schemes. In this paper, we instantiate a certificate Identity-Based Signature (IBS) scheme based on Rainbow, one of the most efficient and secure multivariate signature schemes. In addition, we revise the previous identity-based signature scheme IBUOV based on the Unbalanced Oil and Vinegar (UOV) scheme on the security and choice of parameters and obtain that our scheme is more efficient than IBUOV in terms of key sizes and signature sizes.

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3

Maleeva, G. A. "Analysis of partial key recovery attack on multivariate cryptographic transformations using rank systems." Radiotekhnika, no. 209 (June 24, 2022): 64–70. http://dx.doi.org/10.30837/rt.2022.2.209.06.

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The Rainbow signature scheme, proposed by Ding and Schmidt in 2005, is one of the oldest and most studied signature schemes in multidimensional cryptography. The Rainbow, based on the unbalanced Oil and Vinegar signature scheme, has the necessary cryptocurrency since 1999 with the right parameters. Interest in multivariate cryptography has increased in the last decade, as it is considered to be quantum-stable. Cryptanalysis of the Rainbow and its predecessors was actively developed in the early 2000s. Attacks from this era include the MinRank attack, the HighRank attack, the Bill-Gilbert

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4

Shang, Pei Ni, and Zhu Lian Gao. "An Authentication Scheme Based on the Light-Weight Rainbow Signature for Wireless Sensor Network." Applied Mechanics and Materials 519-520 (February 2014): 185–88. http://dx.doi.org/10.4028/www.scientific.net/amm.519-520.185.

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Based on the rainbow signature scheme and combining the minus perturbation method of the Shamir, a new light-weight rainbow signature scheme is proposed. This scheme only uses the addition and multiplication operation, so it can be performed easily. This scheme has high security and can resist the minimal rank, rank reduction attacks and oil-vinegar attacks, etc. Based new signature scheme, we also design authentication mechanism for the WSN. According to the characters of the cluster WSN, this authentication mechanism can choose proper authentication parameters to realize the authentication o

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5

Yesina, M. V., S. O. Kandiy, E. V. Ostryanska, and I. D. Gorbenko. "Generation of general system parameters for Rainbow electronic signature scheme for 384 and 512 security bits." Radiotekhnika, no. 204 (April 9, 2021): 16–23. http://dx.doi.org/10.30837/rt.2021.1.204.02.

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Today, there is rapid progress in the creation of quantum computers to solve various computational problems and for different purposes. At the same time, special efforts are made to create such a quantum computer that can solve the problems of cryptanalysis of existing cryptosystems: asymmetric ciphers, key encapsulation protocols, electronic signatures, etc. Prevention of such threats can be achieved by developing cryptographic systems that will be protected against both quantum and classical attacks, and be able to interact with existing protocols and communication networks. There is also a

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6

Maleeva, G. А. "Analysis of security of post-quantum algorithm of Rainbow electronic signature against potential attacks." Radiotekhnika, no. 205 (July 2, 2021): 85–93. http://dx.doi.org/10.30837/rt.2021.2.205.08.

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Multidimensional public key cryptography is a candidate for post-quantum cryptography, and it makes it possible to generate particularly short signatures and quick verification. The Rainbow signature scheme proposed by J. Dean and D. Schmidt is such a multidimensional cryptosystem and it is considered to be protected against all known attacks. The need for research on Rainbow ES is justified by the fact that there is a need to develop and adopt a post-quantum national securities standard, and that in the process of the US NIST competition on the mathematical basis of cryptographic transformati

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7

Kandiy, S. O., and G. A. Maleeva. "Analysis of the complexity of attacks on multivariate cryptographic transformations using algebraic field structure." Radiotekhnika, no. 204 (April 9, 2021): 59–65. http://dx.doi.org/10.30837/rt.2021.1.204.06.

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In recent years, interest in cryptosystems based on multidimensional quadratic transformations (MQ transformations) has grown significantly. This is primarily due to the NIST PQC competition [1] and the need for practical electronic signature schemes that are resistant to attacks on quantum computers. Despite the fact that the world community has done a lot of work on cryptanalysis of the presented schemes, many issues need further clarification. NIST specialists are very cautious about the standardization process and urge cryptologists [4] in the next 3 years to conduct a comprehensive analys

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8

Chen, Jiahui, Jie Ling, Jianting Ning, and Jintai Ding. "Identity-Based Signature Schemes for Multivariate Public Key Cryptosystems." Computer Journal 62, no. 8 (2019): 1132–47. http://dx.doi.org/10.1093/comjnl/bxz013.

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Abstract In this paper, we proposed an idea to construct a general multivariate public key cryptographic (MPKC) scheme based on a user’s identity. In our construction, each user is distributed a unique identity by the key distribution center (KDC) and we use this key to generate user’s private keys. Thereafter, we use these private keys to produce the corresponding public key. This method can make key generating process easier so that the public key will reduce from dozens of Kilobyte to several bits. We then use our general scheme to construct practical identity-based signature schemes named

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9

Tan, Yang, Yong Yu, Jie Chen, Shaohua Tang, and Xiangxue Li. "Building a new secure variant of Rainbow signature scheme." IET Information Security 10, no. 2 (2016): 53–59. http://dx.doi.org/10.1049/iet-ifs.2015.0016.

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10

Reshikeshan, Sree Subiksha, Myung Bae Koh, and Mahesh Illindala. "Rainbow Signature Scheme to Secure GOOSE Communications From Quantum Computer Attacks." IEEE Transactions on Industry Applications 57, no. 5 (2021): 4579–86. http://dx.doi.org/10.1109/tia.2021.3093375.

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11

Harmash, D. V. "Properties of the Rainbow multi-variant algorithm and its ability to resist various crypto-analysis methods and attack by outside channels." Radiotekhnika, no. 205 (July 2, 2021): 79–84. http://dx.doi.org/10.30837/rt.2021.2.205.07.

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This work presents the analysis of the essence and possibilities of protection of the Rainbow post-quantum cryptographic algorithm. The main properties of the Rainbow algorithm and the general essence of cryptographic encryption and electronic signature algorithms based on multivariate quadratic transformations are determined. The main provisions regarding the protocols are given. Analyses are given regarding the ability to protect the algorithm against various attacks. The vulnerability of the algorithm to attack by third-party channels is investigated. The general provisions of the algorithm

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12

Richter, Maximilian, Magdalena Bertram, Jasper Seidensticker, and Alexander Tschache. "A Mathematical Perspective on Post-Quantum Cryptography." Mathematics 10, no. 15 (2022): 2579. http://dx.doi.org/10.3390/math10152579.

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In 2016, the National Institute of Standards and Technology (NIST) announced an open competition with the goal of finding and standardizing suitable algorithms for quantum-resistant cryptography. This study presents a detailed, mathematically oriented overview of the round-three finalists of NIST’s post-quantum cryptography standardization consisting of the lattice-based key encapsulation mechanisms (KEMs) CRYSTALS-Kyber, NTRU and SABER; the code-based KEM Classic McEliece; the lattice-based signature schemes CRYSTALS-Dilithium and FALCON; and the multivariate-based signature scheme Rainbow. T

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13

Abdul Jamal, Nurul Amiera Sakinah, Muhammad Rezal Kamel Ariffin, Siti Hasana Sapar, and Kamilah Abdullah. "New Identified Strategies to Forge Multivariate Signature Schemes." Symmetry 14, no. 11 (2022): 2368. http://dx.doi.org/10.3390/sym14112368.

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A rogue certificate authority (RCA) is a dishonest entity that has the trust of web browsers and users to produce valid key pairs which are vulnerable. This work analyses two acknowledged post-quantum secure Multivariate Quadratic Problem (MQP) based signature schemes, namely the UOV and Rainbow signature schemes that obtain their key pair from a potential RCA methodology. We revisit two and provide a novel RCA methodology that would enable adversaries to forge UOV and Rainbow signatures. We also lay out two strategies to identify whether the public parameters are generated by the first two me

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14

Diachenko, Andriy, and Hanna Malieieva. "Description and generation of the key pair in the ES Rainbow algorithm." Physico-mathematical modelling and informational technologies, no. 32 (July 7, 2021): 111–15. http://dx.doi.org/10.15407/fmmit2021.32.111.

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This paper describes the representation and generation of a key pair for one of the promising candidates at the NIST USA level in the NIST PQC competition for the direction of digital signatures of the Rainbow algorithm. This algorithm is a candidate for the third round of selection and a possible option for Ukraine to build its own DS standards based on the mathematics of multivariable quadratic schemes (MQ transformations), which is used in this algorithm. Within the competition, the developers give several sets of parameters for different security levels and several possible implementations

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15

Pokorný, David, Petr Socha, and Martin Novotný. "Equivalent Keys: Side-Channel Countermeasure for Post-Quantum Multivariate Quadratic Signatures." Electronics 11, no. 21 (2022): 3607. http://dx.doi.org/10.3390/electronics11213607.

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Algorithms based on the hardness of solving multivariate quadratic equations present promising candidates for post-quantum digital signatures. Contemporary threats to implementations of cryptographic algorithms, especially in embedded systems, include side-channel analysis, where attacks such as differential power analysis allow for the extraction of secret keys from the device’s power consumption or its electromagnetic emission. To prevent these attacks, various countermeasures must be implemented. In this paper, we propose a novel side-channel countermeasure for multivariate quadratic digita

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16

Kwon, HyeokDong, HyunJun Kim, MinJoo Sim, Wai-Kong Lee, and Hwajeong Seo. "Look-up the Rainbow: Table-based Implementation of Rainbow Signature on 64-bit ARMv8 Processors." ACM Transactions on Embedded Computing Systems, July 4, 2023. http://dx.doi.org/10.1145/3607140.

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Rainbow Signature Scheme is one of the finalists in the National Institute of Standards and Technology (NIST) Post-Quantum Cryptography (PQC) standardization competition, but failed to win because it has lack of stability in the parameter selection. It is the only signature candidate based on a multivariate quadratic equation. Rainbow signatures have smaller signature sizes compared to other post-quantum cryptography candidates. However, it requires expensive tower-field based polynomial multiplications. In this paper, we propose an efficient implementation of Rainbow signature using a look-up

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17

Zhang, Min, Jie Zhang, Zhengping Jin, Hua Zhang, and Qiao-yan Wen. "A Light-Weight Rainbow Signature Scheme for WSN." Journal of Networks 7, no. 8 (2012). http://dx.doi.org/10.4304/jnw.7.8.1272-1279.

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18

Beullens, Ward, Ming-Shing Chen, Shih-Hao Hung, et al. "Oil and Vinegar: Modern Parameters and Implementations." IACR Transactions on Cryptographic Hardware and Embedded Systems, June 9, 2023, 321–65. http://dx.doi.org/10.46586/tches.v2023.i3.321-365.

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Two multivariate digital signature schemes, Rainbow and GeMSS, made it into the third round of the NIST PQC competition. However, neither made its way to being a standard due to devastating attacks (in one case by Beullens, the other by Tao, Petzoldt, and Ding). How should multivariate cryptography recover from this blow? We propose that, rather than trying to fix Rainbow and HFEv- by introducing countermeasures, the better approach is to return to the classical Oil and Vinegar scheme. We show that, if parametrized appropriately, Oil and Vinegar still provides competitive performance compared

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19

Shim, Kyung-Ah, Sangyub Lee, and Namhun Koo. "Efficient Implementations of Rainbow and UOV using AVX2." IACR Transactions on Cryptographic Hardware and Embedded Systems, November 19, 2021, 245–69. http://dx.doi.org/10.46586/tches.v2022.i1.245-269.

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A signature scheme based on multivariate quadratic equations, Rainbow, was selected as one of digital signature finalists for NIST Post-Quantum Cryptography Standardization Round 3. In this paper, we provide efficient implementations of Rainbow and UOV using the AVX2 instruction set. These efficient implementations include several optimizations for signing to accelerate solving linear systems and the Vinegar value substitution. We propose a new block matrix inversion (BMI) method using the Lower-Diagonal-Upper decomposition of blocks matrices based on the Schur complement that accelerates solv

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20

Ustimenko, Vasyl. "On Multivariate Algorithms of Digital Signatures Based on Maps of Unbounded Degree Acting on Secure El Gamal Type Mode." Theoretical and Applied Cybersecurity 4, no. 1 (2023). http://dx.doi.org/10.20535/tacs.2664-29132022.1.274125.

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   Multivariate cryptography studies applications of endomorphisms of K[x1 x2, ..., xn] where K is a finite commutative ring given in the standard form xi →f1 (x1, x2,..., xn), i=1, 2,..., n. The importance of this direction for the constructions of multivariate digital signatures systems is well known. Close attention of researchers directed towards studies of perspectives of efficient quadratic unbalanced rainbow oil and vinegar system (RUOV) presented for NIST postquantum certification. Various cryptanalytic studies of these signature systems were completed. During Third R

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21

Park, Aesun, Kyung-Ah Shim, Namhun Koo, and Dong-Guk Han. "Side-Channel Attacks on Post-Quantum Signature Schemes based on Multivariate Quadratic Equations." IACR Transactions on Cryptographic Hardware and Embedded Systems, August 16, 2018, 500–523. http://dx.doi.org/10.46586/tches.v2018.i3.500-523.

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In this paper, we investigate the security of Rainbow and Unbalanced Oil-and-Vinegar (UOV) signature schemes based on multivariate quadratic equations, which is one of the most promising alternatives for post-quantum signature schemes, against side-channel attacks. We describe correlation power analysis (CPA) on the schemes that yield full secret key recoveries. First, we identify a secret leakage of secret affine maps S and T during matrix-vector products in signing when Rainbow is implemented with equivalent keys rather than random affine maps for optimal implementations. In this case, the s

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